Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gb |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1995840000000 = 212 · 34 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-821408,286267188] |
[a1,a2,a3,a4,a6] |
Generators |
[604:3294:1] |
Generators of the group modulo torsion |
j |
957681397954009/31185 |
j-invariant |
L |
8.2796751533467 |
L(r)(E,1)/r! |
Ω |
0.60947832902548 |
Real period |
R |
3.3962139251573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001057 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5775i3 18480bt4 |
Quadratic twists by: -4 5 |